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Regression Analysis of Mixed Panel-Count Data with Application to Cancer Studies

Author

Listed:
  • Yimei Li

    (St. Jude Children’s Research Hospital)

  • Liang Zhu

    (The University of Texas Health Science Center at Houston)

  • Lei Liu

    (Washington University in St. Louis)

  • Leslie L. Robison

    (St. Jude Children’s Research Hospital)

Abstract

Both panel-count data and panel-binary data are common data types in recurrent event studies. Because of inconsistent questionnaires or missing data during the follow-ups, mixed data types need to be addressed frequently. A recently proposed semiparametric approach uses a proportional means model to facilitate regression analyses of mixed panel-count and panel-binary data. This method can use all available information regardless of the record type and provide unbiased estimates. However, the large number of nuisance parameters in the nonparametric baseline hazard function makes the estimating procedure very complicated and time-consuming. We approximated the baseline hazard function to simplify the estimating procedure. Simulation studies showed that our method performed similarly to that of the previous semiparametric likelihood-based method, but with much faster speed. Approximating the baseline hazard not only reduced the computational burden but also made it possible to implement the estimating procedure in a standard software, such as SAS.

Suggested Citation

  • Yimei Li & Liang Zhu & Lei Liu & Leslie L. Robison, 2021. "Regression Analysis of Mixed Panel-Count Data with Application to Cancer Studies," Statistics in Biosciences, Springer;International Chinese Statistical Association, vol. 13(1), pages 178-195, April.
  • Handle: RePEc:spr:stabio:v:13:y:2021:i:1:d:10.1007_s12561-020-09291-2
    DOI: 10.1007/s12561-020-09291-2
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    References listed on IDEAS

    as
    1. Lei Liu & Robert A. Wolfe & Xuelin Huang, 2004. "Shared Frailty Models for Recurrent Events and a Terminal Event," Biometrics, The International Biometric Society, vol. 60(3), pages 747-756, September.
    2. Lei Liu & Xuelin Huang & John O'Quigley, 2008. "Analysis of Longitudinal Data in the Presence of Informative Observational Times and a Dependent Terminal Event, with Application to Medical Cost Data," Biometrics, The International Biometric Society, vol. 64(3), pages 950-958, September.
    3. Liang Zhu & Ying Zhang & Yimei Li & Jianguo Sun & Leslie L. Robison, 2018. "A semiparametric likelihood†based method for regression analysis of mixed panel†count data," Biometrics, The International Biometric Society, vol. 74(2), pages 488-497, June.
    4. Lei Liu & Xuelin Huang & Alex Yaroshinsky & Janice N. Cormier, 2016. "Joint frailty models for zero-inflated recurrent events in the presence of a terminal event," Biometrics, The International Biometric Society, vol. 72(1), pages 204-214, March.
    5. Feng, Shibao & Wolfe, Robert A. & Port, Friedrich K., 2005. "Frailty Survival Model Analysis of the National Deceased Donor Kidney Transplant Dataset Using Poisson Variance Structures," Journal of the American Statistical Association, American Statistical Association, vol. 100, pages 728-735, September.
    6. Guanglei Yu & Yang Li & Liang Zhu & Hui Zhao & Jianguo Sun & Leslie L. Robison, 2019. "An additive–multiplicative mean model for panel count data with dependent observation and dropout processes," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 46(2), pages 414-431, June.
    7. Gang Cheng & Ying Zhang & Liqiang Lu, 2011. "Efficient algorithms for computing the non and semi-parametric maximum likelihood estimates with panel count data," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 23(2), pages 567-579.
    8. Liang Zhu & Hui Zhao & Jianguo Sun & Wendy Leisenring & Leslie L. Robison, 2015. "Regression analysis of mixed recurrent-event and panel-count data with additive rate models," Biometrics, The International Biometric Society, vol. 71(1), pages 71-79, March.
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